Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 7-Day Trial for You or Your Team.

Learn More →

Selected Papers of Frederick MostellerBias and Runs in Dice Throwing and Recording: A Few Million Throws

Selected Papers of Frederick Mosteller: Bias and Runs in Dice Throwing and Recording: A Few... [An experimenter threw individually 219 different dice of four different brands and recorded even and odd outcomes for one block of 20,000 trials for each die—4,380,000 throws in all. The resulting data on runs offer a basis for comparing the observed properties of such a physical randomizing process with theory and with simulations based on pseudo-random numbers and RAND Corporation random numbers. Although generally the results are close to those forecast by theory, some notable exceptions raise questions about the surprise value that should be associated with occurrences two standard deviations from the mean. These data suggest that the usual significance level may well actually be running from 7 to 15 percent instead of the theoretical 5 percent.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Selected Papers of Frederick MostellerBias and Runs in Dice Throwing and Recording: A Few Million Throws

Download PDF
17 pages

 
/lp/springer-journals/selected-papers-of-frederick-mosteller-bias-and-runs-in-dice-throwing-n60AbLNCfs

References (10)

Publisher
Springer New York
Copyright
© Springer Science + Business Media, LLC 2006
ISBN
978-0-387-20271-6
Pages
417–434
DOI
10.1007/978-0-387-44956-2_25
Publisher site
See Chapter on Publisher Site

Abstract

[An experimenter threw individually 219 different dice of four different brands and recorded even and odd outcomes for one block of 20,000 trials for each die—4,380,000 throws in all. The resulting data on runs offer a basis for comparing the observed properties of such a physical randomizing process with theory and with simulations based on pseudo-random numbers and RAND Corporation random numbers. Although generally the results are close to those forecast by theory, some notable exceptions raise questions about the surprise value that should be associated with occurrences two standard deviations from the mean. These data suggest that the usual significance level may well actually be running from 7 to 15 percent instead of the theoretical 5 percent.]

Published: Jan 1, 2006

Keywords: Standard Score; Markov Chain Model; Multivariate Normal Distribution; Theoretical Variance; Positive Covariance

There are no references for this article.